In some places during some time periods, it was common to "re-use" names of children who were deceased. You may find a family with three children named James. If this is the case, most likely the first two died young, before the next James was actually born. If you do find a couple with two children of the same name where the same-named children survived to adulthood, make certain the children actually had the same name and that the names just were not similar or ones that Anglicized to the same name.